Is 792 a prime number?

792 is an even number, because it is evenly divisible by 2: 792 / 2 = 396.

Find out more:

• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 792 is about 28.142.

Thus, the square root of 792 is not an integer, and therefore 792 is not a square number.

The square of a number (here 792) is the result of the product of this number (792) by itself (i.e., 792 × 792); the square of 792 is sometimes called "raising 792 to the power 2", or "792 squared".

The square of 792 is 627 264 because 792 × 792 = 792² = 627 264.

As a consequence, 792 is the square root of 627 264.

792 is a number with 3 digits.

The multiples of 792 are all integers evenly divisible by 792, that is all numbers such that the remainder of the division by 792 is zero. There are infinitely many multiples of 792. The smallest multiples of 792 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 792 too, since 0 × 792 = 0
• 792: indeed, 792 is a multiple of itself, since 792 is evenly divisible by 792 (we have 792 / 792 = 1, so the remainder of this division is indeed zero)
• 1 584: indeed, 1 584 = 792 × 2
• 2 376: indeed, 2 376 = 792 × 3
• 3 168: indeed, 3 168 = 792 × 4
• 3 960: indeed, 3 960 = 792 × 5
• etc.

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 792). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 28.142). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

• Preceding numbers: …790, 791
• Following numbers: 793, 794…

Nearest numbers from 792

• Preceding prime number: 787
• Following prime number: 797

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• 792 est-il un nombre premier ?